This is another example of governments making sweeping promises with no idea how they might be put into practice. It sounds great on paper to have access to a GP 24/7, but you need a lot of GPs to do that, and ones who are willing and eager to work all the unsocial hours. Some people cannot even get an appointment with their GP during the daytime in a reasonable length of time, let alone in the middle of the night!
My OH used to work shifts that had him on duty 24/7 for 5 days on a weekend on from Thursday morning till Monday night, with 2 surgeries and a full day's work included on the Th, Fri and Mon. It took a huge toll on his health and on family life and I would not wish that on any GP.